All categories

3 years ago

Help help help help help help help help

Mathematics

1 answer:

Leya [2.2K]3 years ago

8 0

Answer:

first off, take pic right side up next time. secondly, it's the forth one down

Step-by-step explanation:

You might be interested in

what are the first 5 common multiples of 14 and 20? i’ll mark brainliest for whoever answers first!!!

shutvik [7]

Answer:

14, 28, 42, 56, and 70 are the first 5 common multiples of 14

20, 40, 60, 80, and 100 are the first 4 common multiples of 20

8 0

3 years ago

Read 2 more answers

Pls show full working out

sweet-ann [11.9K]

Answer:

Question 1a. i) $x=1.8m$

Question 1a. ii) $Volume=27.6m^3$

Question 1b) $Volume=65.9m^3$

Explanation:

Question 1 a. i) Find the value of x.

$tan(\theta )=\dfrac{opposite\text{ }leg}{adjacent\text{ }leg}$

For the smalll triangle you can write:

$tan(\theta )=\dfrac{x}{1m}$

For tthe big triangle:

$tan(\theta )=\dfrac{x+2.7m}{2.5m}$

Substitute:

$\dfrac{x}{1m}=\dfrac{x+2.7m}{2.5m}$

Solve for x:

$2.5x=x+2.7m\\\\2.5x-x=2.7m\\\\1.5x=2.7m\\\\x=2.7m/1.5\\\\x=1.8m$

Question 1a ii) Find the volume of the frustrum

Find the volume of a cone with height = 2.7m + 1.8m = 4.5m, and radius = 2.5m

Formula:

$Volume=(1/3)\pi \times radius^2\times height$

Substitute:

$Volume=(1/3)\pi \times (2.5m)^2\times 4.5m=9.375\pi m^3$

Find the volume of a cone with heigth = 1.8m and radius = 1m

$Volume=(1/3)\pi \times (1m)^2\times 1.8m=0.6\pi m^3$

Subtract the volume of the small cone from the volume of the big cone

$Volume\text{ }of\text{ }frustrum=9.375\pi m^3-0.6\pi m^3=8.775\pi m^3\approx 27.6m^3$

Question 1b. Calculate the volume of the bin

i) Upper frustrum

This is the same frustrum from the equation of above, thus ist volume is 27.6m³.

ii) Lower frustrum

$\dfrac{x}{2.0m}=\dfrac{x+2.4m}{2.5m}$

$2.5x=2(x+2.4m)\\\\2.5x=2x+4.8m\\\\0.5x=4.8m\\\\x=9.6m$

$Volume=(1/3)\pi \times (2.5m)^2\times (9.6m+2.4m)-(2.0m)^2\times (9.6m)$

$Volume=38.3m^3$

iii) Add the volume of the two frustrums

$Volume=27.6m^3+38.3m^3=65.9m^3$

6 0

3 years ago

The heat in the house is set to keep the minimum and maximum temperatures (in degrees Fahrenheit) according to the equation |x –

dmitriy555 [2]

$|x-72.5|=4 \\
x-72.5=-4 \ \lor \ x-72.5=4 \\
x=-4+72.5 \ \lor \ x=4+72.5 \\
x=68.5 \ \lor \ x=76.5$

The minimum and maximum temperatures in the house are 68.5°F and 76.5°.

5 0

3 years ago

Michael draws three parallelograms. In each figure, he measures a pair of angles, as shown.

Phoenix [80]

we know that

In parallelogram, the sum of consecutive angles are 180

so, consecutive angles are supplementary

And opposite angles are equal

so, we will check verify each options

option-A:

Since, consecutive angles are supplementary

so, this is FALSE

option-B:

Since, only opposite angles are equal or congruent

so, this is FALSE

option-C:

Since, consecutive angles are supplementary

so, this is TRUE

option-D:

Since, consecutive angles are supplementary

so, this is FALSE

5 0

3 years ago

Read 2 more answers

In ΔQRS, the measure of ∠S=90°, the measure of ∠Q=6°, and RS = 20 feet. Find the length of SQ to the nearest tenth of a foot.

lara [203]

Answer:

190.3 feet

Step-by-step explanation:

7 0

2 years ago